控制理论与应用2026，Vol.43Issue(3)：501-508,8.DOI:10.7641/CTA.2025.30802
时变时滞电力系统负荷频率控制的稳定性分析
Stability analysis of time-varying delayed load frequency control in power systems
摘要
Abstract
This paper researches the stability problem for time-varying delayed load frequency control in power systems.First of all,the high dimension load frequency control model in power systems is deconstructed to obtain the delayed states and delay free states.Then,these system states are reorganized and a lower dimensional system model is constructed.Based on the lower dimensional system model,a novel Lyapunov-Krasovskii functional is constructed.Next,the integral quadratic terms in the derivative of the functional are estimated by employing the second order free-matrix-based integral inequality(FMBII).For the functional derivative with nonlinear terms,the cubic polynomial negative definite conditions are used to establish the stability criteria and the linear matrix inequalities.Eventually,the effectiveness and superiority of the methods proposed in this paper are proved by some simulation experiments.关键词
电力系统负荷频率控制/时变时滞/模型重构/三次多项式负定条件Key words
load frequency control in power systems/time-varying delay/model reconstruction/cubic polynomial negative definite conditions引用本文复制引用
翟正亮,严怀成,陈世明,常雨芳..时变时滞电力系统负荷频率控制的稳定性分析[J].控制理论与应用,2026,43(3):501-508,8.基金项目
国家自然科学基金项目(62333005,62073143),上海教委科研创新重大项目(2021-01-07-00-02-E00105),上海国际合作项目(24510714000)资助.Supported by the National Natural Science Foundation of China(62333005,62073143),the Innovation Program of Shanghai Municipal Education Commission(2021-01-07-00-02-E00105)and the Shanghai International Science and Technology Cooperation Project(24510714000). （62333005,62073143）
